You are given the coordinates of the vertex 77 and of a poin

You are given the coordinates of the vertex (7,7) and of a point (6,1) on a parabola. Find the equation of the parabola.

y   = ______ x²   + ______ x   + _______

Solution

vertex = (7,7)

point = (6,1)

stadard equation of parabola is given by

y = a(x-h)^2 + k

where, h , k is the vertex

plugging the values in the formula

1 = a ( 6 - 7)^2 + 7

1 = a + 7

a = -6

hence, equation is

y = -6(x-7)^2 + 7 = -6 (x^2 - 14x +49 ) + 7 = -6x^2 + 84 x - 287